Exponents are a shorthand way of representing repeated multiplication of the same number. The exponent of a number says how many times to use that number in a multiplication. It is written as a small number to the right and above the base number.

**Base:**The number that is being multiplied in the expression. For example, in 2^{3}, 2 is the base.**Exponent:**The number that represents how many times the base is being multiplied. In the expression 2^{3}, 3 is the exponent.**Power:**The result of raising a base to an exponent. In 2^{3}, the power is 8.

**Product of Powers:**When multiplying two powers with the same base, add the exponents. For example: 2^{3}* 2^{4}= 2^{7}.**Quotient of Powers:**When dividing two powers with the same base, subtract the exponents. For example: 2^{5}/ 2^{2}= 2^{3}.**Power of a Power:**When raising a power to another power, multiply the exponents. For example: (2^{3})^{2}= 2^{6}.**Zero Exponent:**Any non-zero number raised to the power of 0 is 1. For example: 5^{0}= 1.**Negative Exponent:**A negative exponent indicates the reciprocal of the base raised to the positive exponent. For example: 2^{-3}= 1/(2^{3}).

- Calculate the value of 4
^{2}. - Simplify the expression 3
^{4}* 3^{2}. - What is 5
^{0}? - Find the value of (2
^{3})^{2}. - Simplify the expression 6
^{2}/ 6^{4}. - Calculate the value of 7
^{-2}.

Study GuideExponential & Scientific Notation Worksheet/Answer key

Exponential & Scientific Notation Worksheet/Answer key

Exponential & Scientific Notation Worksheet/Answer key

Exponential & Scientific Notation Worksheet/Answer key

Exponential & Scientific Notation Worksheet/Answer key

Exponential & Scientific Notation Worksheet/Answer key

Exponential & Scientific Notation Vocabulary/Answer key

Exponential & Scientific Notation

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.